Box & Whisker Plots & Variance

Front

What is a Box and Whisker Plot?

Back

A Box and Whisker Plot is a graphical representation of a dataset that displays its minimum, first quartile, median, third quartile, and maximum values.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What is the purpose of the five-number summary in statistics?

Back

The five-number summary provides a quick overview of the distribution of a dataset, including its minimum, first quartile, median, third quartile, and maximum.

Tags

CCSS.6.SP.B.5B

Front

What does the median represent in a dataset?

Back

The median is the middle value of a dataset when it is ordered from least to greatest, dividing the dataset into two equal halves.

Tags

CCSS.6.SP.B.5C

Front

How do you calculate variance?

Back

Variance is calculated by taking the average of the squared differences from the mean.

Front

What does a box plot indicate about the spread of data?

Back

A box plot indicates the spread of data by showing the interquartile range (IQR), which is the range between the first and third quartiles.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1), representing the middle 50% of the data.

Tags

CCSS.6.SP.B.5C

Front

What do the whiskers in a box plot represent?

Back

The whiskers in a box plot extend from the box to the smallest and largest values within 1.5 times the IQR from the quartiles.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

How is standard deviation related to variance?

Back

Standard deviation is the square root of variance, providing a measure of spread in the same units as the data.

Front

What does it mean if a dataset has a high variance?

Back

A high variance indicates that the data points are spread out over a wider range of values.